A single mode realization of SU(1,1)
Quantum Physics
2007-05-23 v1
Authors:
Vladimir L. Safonov
Abstract
A single mode realization of SU(1,1) algebra is proposed. This realization makes it possible to reduce the problem of two nonlinear interacting oscillators to the problem of free moving particle.
Cite
@article{arxiv.quant-ph/0102126,
title = {A single mode realization of SU(1,1)},
author = {Vladimir L. Safonov},
journal= {arXiv preprint arXiv:quant-ph/0102126},
year = {2007}
}
Related papers
View all related →
Mathematical Physics · Physics
$SU(1,1)$ solution for the Dunkl-Coulomb problem in two dimensions and its coherent states
M. Salazar-Ramírez, D. Ojeda-Guillén, R. D. Mota
2018-06-26
Quantum Physics · Physics
Quantum Dynamical Algebra SU(1,1) in One-Dimensional Exactly Solvable Potentials
Ming-Guang Hu, Jing-Ling Chen
2009-01-09
Quantum Physics · Physics
$PT$ symmetry and a dynamical realization of the SU(1,1) algebra
Rabin Banerjee, Pradip Mukherjee
2015-03-24
Nuclear Theory · Physics
On the Eigenvalue Problem of the su(1,1)-Algebra and the Coupling Scheme of Two su(1,1)-Spins
S. Nishiyama, C. Providencia, J da Providencia, Y. Tsue +1
2009-11-10
Mathematical Physics · Physics
Two-boson realizations of the Higgs algebra and some applications
Dong Ruan
2007-05-23
Mathematical Physics · Physics
Application of nonlinear deformation algebra to a physical system with P\"oschl-Teller potential
C. Quesne
2009-10-31
Mathematical Physics · Physics
Deformed su(1,1) Algebra as a Model for Quantum Oscillators
Elchin I. Jafarov, Neli I. Stoilova, Joris Van der Jeugt
2012-05-14
Nuclear Theory · Physics
Beyond the Schwinger boson representation of the su(2)-algebra. I -- New boson representation based on the su(1,1)-algebra and its related problems with application
Yasuhiko Tsue, Constanca Providencia, Joao da Providencia, Masatoshi Yamamura
2015-04-08
Quantum Physics · Physics
Exact solution of the isotropic and anisotropic Hamiltonian of two coupled harmonic oscillators
J. C. Vega, D. Ojeda-Guillén, R. D. Mota
2024-10-02
Mathematical Physics · Physics
$SU(1,1)$ solution for the Dunkl oscillator in two dimensions and its coherent states
M. Salazar-Ramírez, D. Ojeda-Guillén, R. D. Mota, V. D. Granados
2017-01-26
Quantum Physics · Physics
Algebraic Solution of the Harmonic Oscillator With Minimal Length Uncertainty Relations
K. Gemba, Z. T. Hlousek, Z. Papp
2007-12-14
High Energy Physics - Theory · Physics
Oscillator Quantum Algebra and Deformed su(2) Algebra
Harunobu Kubo
2015-06-26
Mathematical Physics · Physics
Solution of two-mode bosonic Hamiltonians and related physical systems
Ramazan Koc, Hayriye Tutunculer, Mehmet Koca
2007-05-23
Mathematical Physics · Physics
SU(1,1) Coherent States For Position-Dependent Mass Singular Oscillators
Sara Cruz y Cruz, Oscar Rosas-Ortiz
2023-04-13
Exactly Solvable and Integrable Systems · Physics
Symmetries and integrals of motion of a superintegrable deformed oscillator
Joanna Gonera, Artur Jasinski, Piotr Kosinski
2021-03-23
Quantum Physics · Physics
The su(1,1) dynamical algebra from the Schr\"odinger ladder operators for N-dimensional systems: hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator
D. Martinez, J. C. Flores-Urbina, R. D. Mota, V. D. Granados
2010-05-24
Mathematical Physics · Physics
Recurrence relations and path representations of matrix elements of an SU(1,1) algebra
C. V. Sukumar
2018-09-14
High Energy Physics - Theory · Physics
Superconformal mechanics in SU(2|1) superspace
E. Ivanov, S. Sidorov, F. Toppan
2016-07-20
Mathematical Physics · Physics
An algebraic approach to a charged particle in an uniform magnetic field
D. Ojeda-Guillén, M. Salazar-Ramírez, R. D. Mota, V. D. Granados
2018-08-09
Mathematical Physics · Physics
Oscillator-Morse-Coulomb mappings and algebras for constant or position-dependent mass
C. Quesne
2009-11-13
Mathematical Physics · Physics
Coherent states for polynomial su(1,1) algebra and a conditionally solvable system
Muhammad Sadiq, Akira Inomata, Georg Junker
2012-05-22
High Energy Physics - Theory · Physics
Anyonic Realization of $SU_q(N)$ Quantum Algebra
Raffaele Caracciolo, Marco A. R-Monteiro
2009-10-22
Mathematical Physics · Physics
$SU(1,1)$ coherent states for Dirac-Kepler-Coulomb problem in $D+1$ dimensions with scalar and vector potentials
D. Ojeda-Guillen, R. D. Mota, V. D. Granados
2014-09-16
q-alg · Mathematics
Dynamical Symmetries in q-deformed Quantum Mechanics
A. Lorek, J. Wess
2016-09-08
High Energy Physics - Theory · Physics
Modular Invariants of $N=2$ Supersymmetric $SU(1,1)$ Models
Katri Huitu
2009-10-22